Imagery.cc 20.3 KB
Newer Older
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
/*=====================================================================

QGroundControl Open Source Ground Control Station

(c) 2009, 2010 QGROUNDCONTROL PROJECT <http://www.qgroundcontrol.org>

This file is part of the QGROUNDCONTROL project

    QGROUNDCONTROL is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    QGROUNDCONTROL is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with QGROUNDCONTROL. If not, see <http://www.gnu.org/licenses/>.

======================================================================*/

/**
 * @file
 *   @brief Definition of the class Imagery.
 *
 *   @author Lionel Heng <hengli@student.ethz.ch>
 *
 */

#include "Imagery.h"

#include <cmath>
#include <iomanip>
#include <sstream>

const double WGS84_A = 6378137.0;
const double WGS84_ECCSQ = 0.00669437999013;

41
const int MAX_ZOOM_LEVEL = 20;
42 43 44 45 46 47 48

Imagery::Imagery()
    : textureCache(new TextureCache(1000))
{

}

49 50 51 52 53 54
Imagery::ImageryType
Imagery::getImageryType(void) const
{
    return currentImageryType;
}

55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72
void
Imagery::setImageryType(ImageryType type)
{
    currentImageryType = type;
}

void
Imagery::setOffset(double xOffset, double yOffset)
{
    this->xOffset = xOffset;
    this->yOffset = yOffset;
}

void
Imagery::prefetch2D(double windowWidth, double windowHeight,
                    double zoom, double xOrigin, double yOrigin,
                    const QString& utmZone)
{
73 74 75 76 77
    if (currentImageryType == BLANK_MAP)
    {
        return;
    }

78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
    double tileResolution;
    if (currentImageryType == GOOGLE_SATELLITE ||
        currentImageryType == GOOGLE_MAP)
    {
        tileResolution = 1.0;
        while (tileResolution * 3.0 / 2.0 < 1.0 / zoom)
        {
            tileResolution *= 2.0;
        }
        if (tileResolution > 512.0)
        {
            tileResolution = 512.0;
        }
    }
    else if (currentImageryType == SWISSTOPO_SATELLITE)
    {
        tileResolution = 0.25;
    }

97 98
    int minTileX, minTileY, maxTileX, maxTileY;
    int zoomLevel;
99 100

    tileBounds(tileResolution,
101 102 103 104
               xOrigin - windowWidth / 2.0 / zoom * 1.5,
               yOrigin - windowHeight / 2.0 / zoom * 1.5,
               xOrigin + windowWidth / 2.0 / zoom * 1.5,
               yOrigin + windowHeight / 2.0 / zoom * 1.5, utmZone,
105 106
               minTileX, minTileY, maxTileX, maxTileY, zoomLevel);

107
    for (int r = minTileY; r <= maxTileY; ++r)
108
    {
109
        for (int c = minTileX; c <= maxTileX; ++c)
110 111 112 113 114 115 116 117 118 119 120 121 122
        {
            QString url = getTileLocation(c, r, zoomLevel, tileResolution);

            TexturePtr t = textureCache->get(url);
        }
    }
}

void
Imagery::draw2D(double windowWidth, double windowHeight,
                double zoom, double xOrigin, double yOrigin,
                const QString& utmZone)
{
123 124 125 126 127 128 129 130 131 132
    if (getNumDrawables() > 0)
    {
        removeDrawables(0, getNumDrawables());
    }

    if (currentImageryType == BLANK_MAP)
    {
        return;
    }

133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151
    double tileResolution;
    if (currentImageryType == GOOGLE_SATELLITE ||
        currentImageryType == GOOGLE_MAP)
    {
        tileResolution = 1.0;
        while (tileResolution * 3.0 / 2.0 < 1.0 / zoom)
        {
            tileResolution *= 2.0;
        }
        if (tileResolution > 512.0)
        {
            tileResolution = 512.0;
        }
    }
    else if (currentImageryType == SWISSTOPO_SATELLITE)
    {
        tileResolution = 0.25;
    }

152 153
    int minTileX, minTileY, maxTileX, maxTileY;
    int zoomLevel;
154 155

    tileBounds(tileResolution,
156 157 158 159
               xOrigin - windowWidth / 2.0 / zoom * 1.5,
               yOrigin - windowHeight / 2.0 / zoom * 1.5,
               xOrigin + windowWidth / 2.0 / zoom * 1.5,
               yOrigin + windowHeight / 2.0 / zoom * 1.5, utmZone,
160 161
               minTileX, minTileY, maxTileX, maxTileY, zoomLevel);

162
    for (int r = minTileY; r <= maxTileY; ++r)
163
    {
164
        for (int c = minTileX; c <= maxTileX; ++c)
165 166 167 168 169 170 171 172 173
        {
            QString tileURL = getTileLocation(c, r, zoomLevel, tileResolution);

            double x1, y1, x2, y2, x3, y3, x4, y4;
            imageBounds(c, r, tileResolution, x1, y1, x2, y2, x3, y3, x4, y4);

            TexturePtr t = textureCache->get(tileURL);
            if (!t.isNull())
            {
174 175 176 177
                addDrawable(t->draw(y1, x1,
                                    y2, x2,
                                    y3, x3,
                                    y4, x4,
178
                                    true));
179 180 181 182 183 184 185 186
            }
        }
    }
}

void
Imagery::prefetch3D(double radius, double tileResolution,
                    double xOrigin, double yOrigin,
187
                    const QString& utmZone)
188
{
189 190 191 192 193
    if (currentImageryType == BLANK_MAP)
    {
        return;
    }

194 195
    int minTileX, minTileY, maxTileX, maxTileY;
    int zoomLevel;
196 197

    tileBounds(tileResolution,
198 199
               xOrigin - radius, yOrigin - radius,
               xOrigin + radius, yOrigin + radius, utmZone,
200 201
               minTileX, minTileY, maxTileX, maxTileY, zoomLevel);

202
    for (int r = minTileY; r <= maxTileY; ++r)
203
    {
204
        for (int c = minTileX; c <= maxTileX; ++c)
205 206 207
        {
            QString url = getTileLocation(c, r, zoomLevel, tileResolution);

208
            TexturePtr t = textureCache->get(url);
209 210 211 212 213 214 215
        }
    }
}

void
Imagery::draw3D(double radius, double tileResolution,
                double xOrigin, double yOrigin,
216
                const QString& utmZone)
217
{
218 219 220 221 222 223 224 225 226 227
    if (getNumDrawables() > 0)
    {
        removeDrawables(0, getNumDrawables());
    }

    if (currentImageryType == BLANK_MAP)
    {
        return;
    }

228 229
    int minTileX, minTileY, maxTileX, maxTileY;
    int zoomLevel;
230 231

    tileBounds(tileResolution,
232 233
               xOrigin - radius, yOrigin - radius,
               xOrigin + radius, yOrigin + radius, utmZone,
234 235
               minTileX, minTileY, maxTileX, maxTileY, zoomLevel);

236
    for (int r = minTileY; r <= maxTileY; ++r)
237
    {
238
        for (int c = minTileX; c <= maxTileX; ++c)
239 240 241 242 243 244
        {
            QString tileURL = getTileLocation(c, r, zoomLevel, tileResolution);

            double x1, y1, x2, y2, x3, y3, x4, y4;
            imageBounds(c, r, tileResolution, x1, y1, x2, y2, x3, y3, x4, y4);

245
            TexturePtr t = textureCache->get(tileURL);
246 247 248

            if (!t.isNull())
            {
249 250 251 252
                addDrawable(t->draw(y1, x1,
                                    y2, x2,
                                    y3, x3,
                                    y4, x4,
253
                                    true));
254 255 256 257 258 259 260 261 262 263 264 265 266 267
            }
        }
    }
}

bool
Imagery::update(void)
{
    textureCache->sync();

    return true;
}

void
268
Imagery::imageBounds(int tileX, int tileY, double tileResolution,
269 270 271 272 273 274
                     double& x1, double& y1, double& x2, double& y2,
                     double& x3, double& y3, double& x4, double& y4) const
{
    if (currentImageryType == GOOGLE_MAP ||
        currentImageryType == GOOGLE_SATELLITE)
    {
275 276
        int zoomLevel = MAX_ZOOM_LEVEL - static_cast<int>(rint(log2(tileResolution)));
        int numTiles = static_cast<int>(exp2(static_cast<double>(zoomLevel)));
277 278 279 280 281 282 283 284 285 286 287 288 289

        double lon1 = tileXToLongitude(tileX, numTiles);
        double lon2 = tileXToLongitude(tileX + 1, numTiles);

        double lat1 = tileYToLatitude(tileY, numTiles);
        double lat2 = tileYToLatitude(tileY + 1, numTiles);

        QString utmZone;
        LLtoUTM(lat1, lon1, x1, y1, utmZone);
        LLtoUTM(lat1, lon2, x2, y2, utmZone);
        LLtoUTM(lat2, lon2, x3, y3, utmZone);
        LLtoUTM(lat2, lon1, x4, y4, utmZone);
    }
290
    else if (currentImageryType == SWISSTOPO_SATELLITE)
291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308
    {
        double utmMultiplier = tileResolution * 200.0;
        double minX = tileX * utmMultiplier;
        double maxX = minX + utmMultiplier;
        double minY = tileY * utmMultiplier;
        double maxY = minY + utmMultiplier;

        x1 = maxX; y1 = minY;
        x2 = maxX; y2 = maxY;
        x3 = minX; y3 = maxY;
        x4 = minX; y4 = minY;
    }
}

void
Imagery::tileBounds(double tileResolution,
                    double minUtmX, double minUtmY,
                    double maxUtmX, double maxUtmY, const QString& utmZone,
309 310 311
                    int& minTileX, int& minTileY,
                    int& maxTileX, int& maxTileY,
                    int& zoomLevel) const
312 313 314
{
    double centerUtmX = (maxUtmX - minUtmX) / 2.0 + minUtmX;
    double centerUtmY = (maxUtmY - minUtmY) / 2.0 + minUtmY;
315
    int centerTileX, centerTileY;
316 317 318 319 320 321 322 323 324 325 326

    if (currentImageryType == GOOGLE_MAP ||
        currentImageryType == GOOGLE_SATELLITE)
    {
        UTMtoTile(minUtmX, minUtmY, utmZone, tileResolution,
                  minTileX, maxTileY, zoomLevel);
        UTMtoTile(centerUtmX, centerUtmY, utmZone, tileResolution,
                  centerTileX, centerTileY, zoomLevel);
        UTMtoTile(maxUtmX, maxUtmY, utmZone, tileResolution,
                  maxTileX, minTileY, zoomLevel);
    }
327
    else if (currentImageryType == SWISSTOPO_SATELLITE)
328 329 330
    {
        double utmMultiplier = tileResolution * 200;

331 332 333 334 335 336
        minTileX = static_cast<int>(rint(minUtmX / utmMultiplier));
        minTileY = static_cast<int>(rint(minUtmY / utmMultiplier));
        centerTileX = static_cast<int>(rint(centerUtmX / utmMultiplier));
        centerTileY = static_cast<int>(rint(centerUtmY / utmMultiplier));
        maxTileX = static_cast<int>(rint(maxUtmX / utmMultiplier));
        maxTileY = static_cast<int>(rint(maxUtmY / utmMultiplier));
337 338 339 340 341 342 343 344 345 346 347 348 349 350 351
    }

    if (maxTileX - minTileX + 1 > 14)
    {
        minTileX = centerTileX - 7;
        maxTileX = centerTileX + 6;
    }
    if (maxTileY - minTileY + 1 > 14)
    {
        minTileY = centerTileY - 7;
        maxTileY = centerTileY + 6;
    }
}

double
352
Imagery::tileXToLongitude(int tileX, int numTiles) const
353 354 355 356 357 358
{
    return 360.0 * (static_cast<double>(tileX)
                    / static_cast<double>(numTiles)) - 180.0;
}

double
359
Imagery::tileYToLatitude(int tileY, int numTiles) const
360 361 362 363 364 365 366 367
{
    double unnormalizedRad =
            (static_cast<double>(tileY) / static_cast<double>(numTiles))
            * 2.0 * M_PI - M_PI;
    double rad = 2.0 * atan(exp(unnormalizedRad)) - M_PI / 2.0;
    return -rad * 180.0 / M_PI;
}

368 369
int
Imagery::longitudeToTileX(double longitude, int numTiles) const
370
{
371
    return static_cast<int>((longitude / 180.0 + 1.0) / 2.0 * numTiles);
372 373
}

374 375
int
Imagery::latitudeToTileY(double latitude, int numTiles) const
376 377 378
{
    double rad = latitude * M_PI / 180.0;
    double normalizedRad = -log(tan(rad) + 1.0 / cos(rad));
379
    return static_cast<int>((normalizedRad + M_PI)
380 381 382 383 384
                                / (2.0 * M_PI) * numTiles);
}

void
Imagery::UTMtoTile(double northing, double easting, const QString& utmZone,
385 386
                   double tileResolution, int& tileX, int& tileY,
                   int& zoomLevel) const
387 388 389 390 391
{
    double latitude, longitude;

    UTMtoLL(northing, easting, utmZone, latitude, longitude);

392 393
    zoomLevel = MAX_ZOOM_LEVEL - static_cast<int>(rint(log2(tileResolution)));
    int numTiles = static_cast<int>(exp2(static_cast<double>(zoomLevel)));
394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452

    tileX = longitudeToTileX(longitude, numTiles);
    tileY = latitudeToTileY(latitude, numTiles);
}

QChar
Imagery::UTMLetterDesignator(double latitude) const
{
    // This routine determines the correct UTM letter designator for the given latitude
    // returns 'Z' if latitude is outside the UTM limits of 84N to 80S
    // Written by Chuck Gantz- chuck.gantz@globalstar.com
    char letterDesignator;

    if ((84.0 >= latitude) && (latitude >= 72.0)) letterDesignator = 'X';
    else if ((72.0 > latitude) && (latitude >= 64.0)) letterDesignator = 'W';
    else if ((64.0 > latitude) && (latitude >= 56.0)) letterDesignator = 'V';
    else if ((56.0 > latitude) && (latitude >= 48.0)) letterDesignator = 'U';
    else if ((48.0 > latitude) && (latitude >= 40.0)) letterDesignator = 'T';
    else if ((40.0 > latitude) && (latitude >= 32.0)) letterDesignator = 'S';
    else if ((32.0 > latitude) && (latitude >= 24.0)) letterDesignator = 'R';
    else if ((24.0 > latitude) && (latitude >= 16.0)) letterDesignator = 'Q';
    else if ((16.0 > latitude) && (latitude >= 8.0)) letterDesignator = 'P';
    else if (( 8.0 > latitude) && (latitude >= 0.0)) letterDesignator = 'N';
    else if (( 0.0 > latitude) && (latitude >= -8.0)) letterDesignator = 'M';
    else if ((-8.0 > latitude) && (latitude >= -16.0)) letterDesignator = 'L';
    else if ((-16.0 > latitude) && (latitude >= -24.0)) letterDesignator = 'K';
    else if ((-24.0 > latitude) && (latitude >= -32.0)) letterDesignator = 'J';
    else if ((-32.0 > latitude) && (latitude >= -40.0)) letterDesignator = 'H';
    else if ((-40.0 > latitude) && (latitude >= -48.0)) letterDesignator = 'G';
    else if ((-48.0 > latitude) && (latitude >= -56.0)) letterDesignator = 'F';
    else if ((-56.0 > latitude) && (latitude >= -64.0)) letterDesignator = 'E';
    else if ((-64.0 > latitude) && (latitude >= -72.0)) letterDesignator = 'D';
    else if ((-72.0 > latitude) && (latitude >= -80.0)) letterDesignator = 'C';
    else letterDesignator = 'Z'; //This is here as an error flag to show that the Latitude is outside the UTM limits

    return letterDesignator;
}

void
Imagery::LLtoUTM(double latitude, double longitude,
                 double& utmNorthing, double& utmEasting,
                 QString& utmZone) const
{
    // converts lat/long to UTM coords.  Equations from USGS Bulletin 1532
    // East Longitudes are positive, West longitudes are negative.
    // North latitudes are positive, South latitudes are negative
    // Lat and Long are in decimal degrees
    // Written by Chuck Gantz- chuck.gantz@globalstar.com

    double k0 = 0.9996;

    double LongOrigin;
    double eccPrimeSquared;
    double N, T, C, A, M;

    double LatRad = latitude * M_PI / 180.0;
    double LongRad = longitude * M_PI / 180.0;
    double LongOriginRad;

453
    int ZoneNumber = static_cast<int>((longitude + 180.0) / 6.0) + 1;
454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530

    if (latitude >= 56.0 && latitude < 64.0 &&
        longitude >= 3.0 && longitude < 12.0)
    {
        ZoneNumber = 32;
    }

    // Special zones for Svalbard
    if (latitude >= 72.0 && latitude < 84.0)
    {
        if (     longitude >= 0.0  && longitude <  9.0) ZoneNumber = 31;
        else if (longitude >= 9.0  && longitude < 21.0) ZoneNumber = 33;
        else if (longitude >= 21.0 && longitude < 33.0) ZoneNumber = 35;
        else if (longitude >= 33.0 && longitude < 42.0) ZoneNumber = 37;
     }
    LongOrigin = static_cast<double>((ZoneNumber - 1) * 6 - 180 + 3);  //+3 puts origin in middle of zone
    LongOriginRad = LongOrigin * M_PI / 180.0;

    // compute the UTM Zone from the latitude and longitude
    utmZone = QString("%1%2").arg(ZoneNumber).arg(UTMLetterDesignator(latitude));

    eccPrimeSquared = WGS84_ECCSQ / (1.0 - WGS84_ECCSQ);

    N = WGS84_A / sqrt(1.0f - WGS84_ECCSQ * sin(LatRad) * sin(LatRad));
    T = tan(LatRad) * tan(LatRad);
    C = eccPrimeSquared * cos(LatRad) * cos(LatRad);
    A = cos(LatRad) * (LongRad - LongOriginRad);

    M = WGS84_A * ((1.0 - WGS84_ECCSQ / 4.0
                    - 3.0 * WGS84_ECCSQ * WGS84_ECCSQ / 64.0
                    - 5.0 * WGS84_ECCSQ * WGS84_ECCSQ * WGS84_ECCSQ / 256.0)
                   * LatRad
                   - (3.0 * WGS84_ECCSQ / 8.0
                      + 3.0 * WGS84_ECCSQ * WGS84_ECCSQ / 32.0
                      + 45.0 * WGS84_ECCSQ * WGS84_ECCSQ * WGS84_ECCSQ / 1024.0)
                   * sin(2.0 * LatRad)
                   + (15.0 * WGS84_ECCSQ * WGS84_ECCSQ / 256.0
                      + 45.0 * WGS84_ECCSQ * WGS84_ECCSQ * WGS84_ECCSQ / 1024.0)
                   * sin(4.0 * LatRad)
                   - (35.0 * WGS84_ECCSQ * WGS84_ECCSQ * WGS84_ECCSQ / 3072.0)
                   * sin(6.0 * LatRad));

    utmEasting = k0 * N * (A + (1.0 - T + C) * A * A * A / 6.0
                           + (5.0 - 18.0 * T + T * T + 72.0 * C
                              - 58.0 * eccPrimeSquared)
                           * A * A * A * A * A / 120.0)
                 + 500000.0;

    utmNorthing = k0 * (M + N * tan(LatRad) *
                        (A * A / 2.0 +
                         (5.0 - T + 9.0 * C + 4.0 * C * C) * A * A * A * A / 24.0
                         + (61.0 - 58.0 * T + T * T + 600.0 * C
                            - 330.0 * eccPrimeSquared)
                         * A * A * A * A * A * A / 720.0));
    if (latitude < 0.0)
    {
        utmNorthing += 10000000.0; //10000000 meter offset for southern hemisphere
    }
}

void
Imagery::UTMtoLL(double utmNorthing, double utmEasting, const QString& utmZone,
                 double& latitude, double& longitude) const
{
    // converts UTM coords to lat/long.  Equations from USGS Bulletin 1532
    // East Longitudes are positive, West longitudes are negative.
    // North latitudes are positive, South latitudes are negative
    // Lat and Long are in decimal degrees.
    // Written by Chuck Gantz- chuck.gantz@globalstar.com

    double k0 = 0.9996;
    double eccPrimeSquared;
    double e1 = (1.0 - sqrt(1.0 - WGS84_ECCSQ)) / (1.0 + sqrt(1.0 - WGS84_ECCSQ));
    double N1, T1, C1, R1, D, M;
    double LongOrigin;
    double mu, phi1, phi1Rad;
    double x, y;
531
    int ZoneNumber;
532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585
    char ZoneLetter;
    bool NorthernHemisphere;

    x = utmEasting - 500000.0; //remove 500,000 meter offset for longitude
    y = utmNorthing;

    std::istringstream iss(utmZone.toStdString());
    iss >> ZoneNumber >> ZoneLetter;
    if ((ZoneLetter - 'N') >= 0)
    {
        NorthernHemisphere = true;//point is in northern hemisphere
    }
    else
    {
        NorthernHemisphere = false;//point is in southern hemisphere
        y -= 10000000.0;//remove 10,000,000 meter offset used for southern hemisphere
    }

    LongOrigin = (ZoneNumber - 1.0) * 6.0 - 180.0 + 3.0;  //+3 puts origin in middle of zone

    eccPrimeSquared = WGS84_ECCSQ / (1.0 - WGS84_ECCSQ);

    M = y / k0;
    mu = M / (WGS84_A * (1.0 - WGS84_ECCSQ / 4.0
                         - 3.0 * WGS84_ECCSQ * WGS84_ECCSQ / 64.0
                         - 5.0 * WGS84_ECCSQ * WGS84_ECCSQ * WGS84_ECCSQ / 256.0));

    phi1Rad = mu + (3.0 * e1 / 2.0 - 27.0 * e1 * e1 * e1 / 32.0) * sin(2.0 * mu)
              + (21.0 * e1 * e1 / 16.0 - 55.0 * e1 * e1 * e1 * e1 / 32.0)
              * sin(4.0 * mu)
              + (151.0 * e1 * e1 * e1 / 96.0) * sin(6.0 * mu);
    phi1 = phi1Rad / M_PI * 180.0;

    N1 = WGS84_A / sqrt(1.0 - WGS84_ECCSQ * sin(phi1Rad) * sin(phi1Rad));
    T1 = tan(phi1Rad) * tan(phi1Rad);
    C1 = eccPrimeSquared * cos(phi1Rad) * cos(phi1Rad);
    R1 = WGS84_A * (1.0 - WGS84_ECCSQ) /
         pow(1.0 - WGS84_ECCSQ * sin(phi1Rad) * sin(phi1Rad), 1.5);
    D = x / (N1 * k0);

    latitude = phi1Rad - (N1 * tan(phi1Rad) / R1)
               * (D * D / 2.0 - (5.0 + 3.0 * T1 + 10.0 * C1 - 4.0 * C1 * C1
                                 - 9.0 * eccPrimeSquared) * D * D * D * D / 24.0
                  + (61.0 + 90.0 * T1 + 298.0 * C1 + 45.0 * T1 * T1
                     - 252.0 * eccPrimeSquared - 3.0 * C1 * C1)
                  * D * D * D * D * D * D / 720.0);
    latitude *= 180.0 / M_PI;

    longitude = (D - (1.0 + 2.0 * T1 + C1) * D * D * D / 6.0
                 + (5.0 - 2.0 * C1 + 28.0 * T1 - 3.0 * C1 * C1
                    + 8.0 * eccPrimeSquared + 24.0 * T1 * T1)
                 * D * D * D * D * D / 120.0) / cos(phi1Rad);
    longitude = LongOrigin + longitude / M_PI * 180.0;
}
586

587
QString
588
Imagery::getTileLocation(int tileX, int tileY, int zoomLevel,
589 590 591 592 593 594 595 596 597 598 599 600 601 602
                         double tileResolution) const
{
    std::ostringstream oss;

    switch (currentImageryType)
    {
    case GOOGLE_MAP:
        oss << "http://mt0.google.com/vt/lyrs=m@120&x=" << tileX
            << "&y=" << tileY << "&z=" << zoomLevel;
        break;
    case GOOGLE_SATELLITE:
        oss << "http://khm.google.com/vt/lbw/lyrs=y&x=" << tileX
            << "&y=" << tileY << "&z=" << zoomLevel;
        break;
603
    case SWISSTOPO_SATELLITE:
604 605 606 607 608 609 610 611
        oss << "../map/eth_zurich_swissimage_025/200/color/" << tileY
            << "/tile-";
        if (tileResolution < 1.0)
        {
            oss << std::fixed << std::setprecision(2) << tileResolution;
        }
        else
        {
612
            oss << static_cast<int>(rint(tileResolution));
613 614 615 616 617 618 619 620 621 622
        }
        oss << "-" << tileY << "-" << tileX << ".jpg";
    default:
        {};
    }

    QString url(oss.str().c_str());

    return url;
}